
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:Antisymmetric matrix A is a matrix such that its entries satisfy
AT-A
that is, Au-Ag for all i,5. Let us have the antisymmetric 3 x 3 matrix
0 a
0 b
-b0
A= -G
a) Show that the antisymmetric 3 x 3 matrices Ant- Span{ Ala, b, c € R) form a
subspace of the set of all 3 x 3 matrices.
b) Find a basis of the space Ant- Span(Aja, b,ce R). What is dim Ant-?
e) Make an explicite correspondence between Ant and some linear space R.
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